Formal Assessment

1. How can the rate of change of an exponential function be described?

2. Compare and contrast the graphs of a general linear function (y = mx + b) and a general exponential function (y = abx).

3. What is the difference between exponential growth and exponential decay in terms of the equation?

4. If you were to want a loan for $5,098 and found a rate of 2.75% for 48 months:

- What amount would you pay at the end of 48 months?

- What would be your monthly payment?

-How much money would you pay in interest alone?

5. What would the asymptotes of any exponential function in the form y=abx be?

6. Examine the equation y=5(2)x

- What family function does this equation belong to? How do you know?

- Is this model growth or decay? How do you know?

- What are the asymptote(s) of this function?

- What is the x-intercept of this function?

- What is the y-intercept of this function?

- What does the 5 represent?

- What does the 2 tell us about this function?

- Create a scenario that would fit this model.